# 6 20 23 triangle

### Obtuse scalene triangle.

Sides: a = 6   b = 20   c = 23

Area: T = 55.31221822025
Perimeter: p = 49
Semiperimeter: s = 24.5

Angle ∠ A = α = 13.91553294643° = 13°54'55″ = 0.24328683157 rad
Angle ∠ B = β = 53.28656392638° = 53°17'8″ = 0.93300098492 rad
Angle ∠ C = γ = 112.7999031272° = 112°47'57″ = 1.96987144888 rad

Height: ha = 18.43773940675
Height: hb = 5.53112182202
Height: hc = 4.81097549741

Median: ma = 21.34224459704
Median: mb = 13.50992560861
Median: mc = 9.26601295887

Inradius: r = 2.25876400899
Circumradius: R = 12.47546479442

Vertex coordinates: A[23; 0] B[0; 0] C[3.58769565217; 4.81097549741]
Centroid: CG[8.86223188406; 1.6033251658]
Coordinates of the circumscribed circle: U[11.5; -4.83439260784]
Coordinates of the inscribed circle: I[4.5; 2.25876400899]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 166.0854670536° = 166°5'5″ = 0.24328683157 rad
∠ B' = β' = 126.7144360736° = 126°42'52″ = 0.93300098492 rad
∠ C' = γ' = 67.20109687281° = 67°12'3″ = 1.96987144888 rad

# How did we calculate this triangle?

Now we know the lengths of all three sides of the triangle and the triangle is uniquely determined. Next we calculate another its characteristics - same procedure as calculation of the triangle from the known three sides SSS. ### 1. The triangle circumference is the sum of the lengths of its three sides ### 2. Semiperimeter of the triangle ### 3. The triangle area using Heron's formula ### 4. Calculate the heights of the triangle from its area. ### 5. Calculation of the inner angles of the triangle using a Law of Cosines ### 6. Inradius ### 7. Circumradius ### 8. Calculation of medians #### Look also our friend's collection of math examples and problems:

See more informations about triangles or more information about solving triangles.